Problem: Recently you have bought a snow walking robot and brought it home. Suppose your home is a cell (0, 0) on an infinite grid.

You also have the sequence of instructions of this robot. It is written as the string s consisting of characters 'L', 'R', 'U' and 'D'. If the robot is in the cell (x, y) right now, he can move to one of the adjacent cells (depending on the current instruction).

  * If the current instruction is 'L', then the robot can move to the left to (x - 1, y); 
  * if the current instruction is 'R', then the robot can move to the right to (x + 1, y); 
  * if the current instruction is 'U', then the robot can move to the top to (x, y + 1); 
  * if the current instruction is 'D', then the robot can move to the bottom to (x, y - 1). 



You've noticed the warning on the last page of the manual: if the robot visits some cell (except (0, 0)) twice then it breaks.

So the sequence of instructions is valid if the robot starts in the cell (0, 0), performs the given instructions, visits no cell other than (0, 0) two or more times and ends the path in the cell (0, 0). Also cell (0, 0) should be visited at most two times: at the beginning and at the end (if the path is empty then it is visited only once). For example, the following sequences of instructions are considered valid: "UD", "RL", "UUURULLDDDDLDDRRUU", and the following are considered invalid: "U" (the endpoint is not (0, 0)) and "UUDD" (the cell (0, 1) is visited twice).

The initial sequence of instructions, however, might be not valid. You don't want your robot to break so you decided to reprogram it in the following way: you will remove some (possibly, all or none) instructions from the initial sequence of instructions, then rearrange the remaining instructions as you wish and turn on your robot to move. 

Your task is to remove as few instructions from the initial sequence as possible and rearrange the remaining ones so that the sequence is valid. Report the valid sequence of the maximum length you can obtain.

Note that you can choose any order of remaining instructions (you don't need to minimize the number of swaps or any other similar metric).

You have to answer q independent test cases.

Input

The first line of the input contains one integer q (1 ≤ q ≤ 2 ⋅ 10^4) — the number of test cases.

The next q lines contain test cases. The i-th test case is given as the string s consisting of at least 1 and no more than 10^5 characters 'L', 'R', 'U' and 'D' — the initial sequence of instructions.

It is guaranteed that the sum of |s| (where |s| is the length of s) does not exceed 10^5 over all test cases (∑ |s| ≤ 10^5).

Output

For each test case print the answer on it. In the first line print the maximum number of remaining instructions. In the second line print the valid sequence of remaining instructions t the robot has to perform. The moves are performed from left to right in the order of the printed sequence. If there are several answers, you can print any. If the answer is 0, you are allowed to print an empty line (but you can don't print it).

Example

Input


6
LRU
DURLDRUDRULRDURDDL
LRUDDLRUDRUL
LLLLRRRR
URDUR
LLL


Output


2
LR
14
RUURDDDDLLLUUR
12
ULDDDRRRUULL
2
LR
2
UD
0

Note

There are only two possible answers in the first test case: "LR" and "RL".

The picture corresponding to the second test case:

<image> Note that the direction of traverse does not matter 

Another correct answer to the third test case: "URDDLLLUURDR".

Solution (in JAVA):

Solution:
/*                                  

                ."-,.__
                 `.     `.  ,
              .--'  .._,'"-' `.
             .    .'         `'
             `.   /          ,'
               `  '--.   ,-"'
                `"`   |  \
                   -. \, |  
                    `--Y.'      ___.															
                         \     L._, \																
               _.,        `.   <  <\ \              _											
             ,' '           `, `.   | \            ( `                                                        
          ../, `.            `  |    .\`.           \ \_										
         ,' ,..  .           _.,'    ||\l            )  '".											
        , ,'   \ \         ,'.-.`-._,'  |           .  _._`.										
      ,' /      \ \        `' ' `--/   | \          / /   ..\										
    .'  /        \ .         |\__ - _ ,'` `        / /     `.`.							
    |  '          ..         `-...-"  |  `-'      / /        . `.						
    | /           |L__           |    |          / /          `. `.						
   , /            .   .          |    |         / /             ` `						
  / /          ,. ,`._ `-_       |    |  _   ,-' /               ` \						
 / .           \"`_/. `-_ \_,.  ,'    +-' `-'  _,        ..,-.    \`.						
.  '         .-f    ,'   `    '.       \__.---'     _   .'   '     \ \						
' /          `.'    l     .' /          \..      ,_|/   `.  ,'`     L`						
|'      _.-""` `.    \ _,'  `            \ `.___`.'"`-.  , |   |    | \							
||    ,'      `. `.   '       _,...._        `  |    `/ '  |   '     .|						
||  ,'          `. ;.,.---' ,'       `.   `.. `-'  .-' /_ .'    ;_   ||							
|| '              V      / /           `   | `   ,'   ,' '.    !  `. ||							
||/            _,-------7 '              . |  `-'    l         /    `||						
. |          ,' .-   ,' ||               | .-.        `.      .'     ||							
 `'        ,'    `".'    |               |    `.        '. -.'       `'							
          /      ,'      |               |,'    \-.._,.'/'										
          .     /        .               .       \    .''										
        .`.    |         `.             /         :_,'.'										
          \ `...\   _     ,'-.        .'         /_.-'												
           `-.__ `,  `'   .  _.>----''.  _  __  /												
                .'        /"'          |  "'   '_
               /_|.-'\ ,".             '.'`__'-( \
                 / ,"'"\,'               `/  `-.|" 
                  * 

                  
*/



//package cf;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashSet;
import java.util.InputMismatchException;
import java.util.List;
import java.util.Set;
import java.util.TreeSet;
public class Three{
    public static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;
        private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
     
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
     
        public int read() {
            if (numChars==-1)
                throw new InputMismatchException();
     
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                }
                catch (IOException e) {
                    throw new InputMismatchException();
                }
     
                if(numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
     
        public String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
        public int nextInt() {
            int c = read();
     
            while(isSpaceChar(c))
                c = read();
     
            int sgn = 1;
     
            if (c == '-') {
                sgn = -1;
                c = read();
            }
     
            int res = 0;
            do {
                if(c<'0'||c>'9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
     
            return res * sgn;
        }
     
        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
     
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }
     
        public double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }
     
        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));
     
            return res.toString();
        }
     
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
     
        public String next() {
            return readString();
        }
     
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
 
    static long gcd(long a, long b){
        if (a == 0)
            return b;  
        return gcd(b % a, a);  
    }
    static long lcm(long a, long b)  {
        return (a*b)/gcd(a, b);  
    }
    
    // Select a particular column and the entire rows will be shifted and the selected column will be sorted while other columns will be 
    // rearranged accordingly
    public static void sortbyColumn(long arr[][], int col) 
    { 
        
        Arrays.sort(arr, new Comparator<long[]>() { 
            
          @Override              
          
          public int compare(final long[] entry1,  
                             final long[] entry2) { 
  
            
            if (entry1[col] > entry2[col]) 
                return 1; 
            else
                return -1; 
          } 
        });  
    } 
    
    // Max contigious subArray sum
    static long func(long a[],int size,int s){
        long max1=a[s];
        long maxc=a[s];
        for(int i=s+1;i<size;i++){
            maxc=Math.max(a[i],maxc+a[i]);
            max1=Math.max(maxc,max1);
        }
        return max1;
    }
    public static class Pair<U extends Comparable<U>, V extends Comparable<V>> implements Comparable<Pair<U, V>> {
        public U x;
        public V y;
    
        public Pair(U x, V y) {
            this.x = x;
            this.y = y;
        }
    
        public int hashCode() {
            return (x == null ? 0 : x.hashCode() * 31) + (y == null ? 0 : y.hashCode());
        }
    
        public boolean equals(Object o) {
            if (this == o)
                return true;
            if (o == null || getClass() != o.getClass())
                return false;
            Pair<U, V> p = (Pair<U, V>) o;
            return (x == null ? p.x == null : x.equals(p.x)) && (y == null ? p.y == null : y.equals(p.y));
        }
    
        public int compareTo(Pair<U, V> b) {
            int cmpU = x.compareTo(b.x);
            return cmpU != 0 ? cmpU : y.compareTo(b.y);
        }
    
        public String toString() {
            return String.format("(%s, %s)", x.toString(), y.toString());
        }
    
    }

    // Combination 
    static long C(long n,long r){
        long count=0,temp=n;
        long ans=1;
        long num=n-r+1,div=1;
        while(num<=n){
            ans*=num;
            //ans+=MOD;
            ans%=MOD;
            ans*=mypow(div,MOD-2);
            //ans+=MOD;
            ans%=MOD;
            num++;
            div++;
        }
        
        ans+=MOD;
        return ans%MOD;
    }
    
    // Factorial
    static long fact(long a){
        long i,ans=1;
        for(i=1;i<=a;i++){
            ans*=i;
            ans%=MOD;
        }
        return ans%=MOD;
    }
    static void sieve(int n){
    	// Create a boolean array
        // "prime[0..n]" and
        // initialize all entries
        // it as true. A value in
        // prime[i] will finally be
        // false if i is Not a
        // prime, else true.
        boolean prime[] = new boolean[n + 1];
        for (int i = 0; i <= n; i++)
            prime[i] = true;
 
        for (int p = 2; p * p <= n; p++)
        {
            // If prime[p] is not changed, then it is a
            // prime
            if (prime[p] == true)
            {
                // Update all multiples of p
                for (int i = p * p; i <= n; i += p)
                    prime[i] = false;
            }
        }
 
        // Print all prime numbers
        for (int i = 2; i <= n; i++)
        {
            if (prime[i] == true)
            {
            	li.add(i);
            	
            }
        }
       
    }
    
    static void primeFactorSieve(int n){
        is_sieve[0]=1;
        is_sieve[1]=1;
        int i,j,k;
        for(i=2;i<n;i++){
            if(is_sieve[i]==0){
                sieve[i]=i;
                li.add(i);
                for(j=i*i;j<n;j+=i){
                    if(j>n||j<0){
                        break;
                    }
                    is_sieve[j]=1;
                    sieve[j]=i;
                }
            }
        }
    }
    
    static long mypow(long x,long y){
        long temp; 
        if( y == 0) 
            return 1; 
        temp = mypow(x, y/2); 
        if (y%2 == 0) 
            return (temp*temp)%MOD; 
        else
            return ((x*temp)%MOD*(temp)%MOD)%MOD; 
    }
    static long dist[],dp[][];
    static int visited[],isit[];
    static ArrayList<Integer> adj[],li;
    //static int dp[][][];
    static int MOD=1000000007,max=0;
    static char ch[];
    static int[] sieve,is_sieve;
    static TreeSet<Integer> tr;
    
    static int calcdist(int r1,int c1,int r2,int c2){
        if(r2-r1==c2-c1){
            return isRight(r1,c1)?0:r2-r1;
        }
        
        r2-=r1-1;
        c2-=c1-1;
        if(isLeft(r1,c1)){
            return (r2-c2)/2;
        }else{
            return (r2-c2+1)/2;
        }
    }
    
    static boolean isLeft(int r,int c){
        if((r+c)%2==0){
            return true;
        }
        return false;
    }
    
    static boolean isRight(int r,int c){
        if((r+c)%2!=0){
            return true;
        }
        return false;
    }
    static int binarySearch(List<Long> ll , long x) 
	{ 
		int l = 0, r = ll.size() - 1; 
		while (l <= r) { 
			int m = l + (r - l) / 2; 

			// Check if x is present at mid 
			if (ll.get(m) == x) 
				return m; 

			// If x greater, ignore left half 
			if (ll.get(m) < x) 
				l = m + 1; 

			// If x is smaller, ignore right half 
			else
				r = m - 1; 
		} 

		// if we reach here, then element was 
		// not present 
		return l-1; 
	} 
    
    public static char toCh(char c)
    {
    	int ch = Integer.parseInt(Character.toString(c));
    	
    	ch = (ch%9)+1;
    	
    	return Integer.toString(ch).charAt(0);
    }
    public static void main(String args[]){
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader sc = new InputReader(inputStream);
        PrintWriter w = new PrintWriter(outputStream);
        
        
       int tt = sc.nextInt();
       
       while(tt-- != 0)
       {
    	   String s = sc.next();
    	   
    	   int l = 0,r = 0,u = 0,d = 0;
    	   
    	   for(int i = 0;i<s.length();i++)
    	   {
    		   if(s.charAt(i) == 'L')
    			   l++;
    		   else if(s.charAt(i) == 'R')
    			   r++;
    		   else if(s.charAt(i) == 'U')
    			   u++;
    		   else
    			   d++;
    	   }
    	   
    	   StringBuffer ans = new StringBuffer("");
    	   
    	   int x = Math.min(r,l);
    	   int y = Math.min(d,u);
    	   if(x==0 && y==0)
    	   {
    		   w.println(0);
    	   }
    	   else if(x==0)
    	   {
    		   ans.append("UD");
    		   w.println(2);
    	   }
    	   else if(y==0)
    	   {
    		   ans.append("LR");
    		   w.println(2);
    	   }
    	   else
    	   {
    		   int c = x;
    		   while(c-- != 0)
    			   ans.append("R");
    		   
    		   c = y;
    		   while(c-- != 0)
    			   ans.append("U");
    		   
    		   c = x;
    		   while(c-- != 0)
    			   ans.append("L");
    		   
    		   c = y;
    		   while(c-- != 0)
    			   ans.append("D");
    		   
    		   w.println((x*2) + (y*2));
    	   }
    	   
		   
		   w.println(ans);
       }
        
        w.close();
    }
}